GATE EE 2017 Set 2 — Question 42
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Electrical Machines → DC Machines → Generator & Motor Characteristics
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Question
A 120 V DC shunt motor takes 2 A at no load. It takes 7 A on full load while running at 1200 rpm. The armature resistance is , and the shunt field resistance is . The no load speed, in rpm, is ________.
Correct answer
1235 to 1250
Solution
Step 1: Calculate the shunt field current ().Step 2: Calculate the armature current at no load () and full load ().Step 3: Calculate the back EMF at no load () and full load ().Step 4: Use the relationship between back EMF and speed (). Assuming constant flux for a shunt motor:The no-load speed is approximately 1241.81 rpm, which falls within the range [1235, 1250].
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